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Finding the Fourth Proportional to 16,370, 24,555.61 and 5,276.85

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Solution

The fourth proportional to 16,370, 24,555.61 and 5,276.85 is: 7,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370 : 24,555.61 = 5,276.85 : x
  2. Step 2: Convert to fraction form
    16,370/24,555.61 = 5,276.85/x
  3. Step 3: Cross multiply
    16,370x = 24,555.61 × 5,276.85
  4. Step 4: Simplify right side
    16,370x = 129,576,270.63
  5. Step 5: Solve for x
    x = 129,576,270.63/16,370
  6. Step 6: Final answer
    x = 7,915.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.